有理数域上二元多项式正半定性的判定

DETERMINATION ON POSITIVE SEMI DEFINITE OF BINARY POLYNOMIALS OVER RATIONALS

［１］对符号系数多项式的根的分类给出了完全的判别系统。本文利用［１］的结果，给出了有理数域上二元多项式正半定性的完全判别方法，其有效性已在计算机实现中得到验证。

gives a complete discrimination system for root classification of polynomials with symbolic/literal coefficients.By using results in ,this paper gives a complete determination on positive semi definite of binary polynomials over rationals,and its efficiency was demonstrated by computer implementation.